Question

m+6=3(1-m/2) please help i've been stuck on this for hours

Answer 1

m+6=3(1-m/2)


m+6=3(1)+3(-m/2)


m+6=3-3m/2


Making sense so far?

Answer 2

a little but not really :/

Answer 3

Ok I'll post the full solution and you tell me where you get stuck (point out the line or step number)


m+6=3(1-m/2)


m+6=3(1)+3(-m/2)


m+6=3-3m/2


2m+12=6-3m


2m=6-3m-12


2m+3m=6-12


5m=-6


m = -6/5

Answer 4

I'm assuming of course that the equation is \[\Large m+6=3\left(1-\frac{m}{2}\right)\]

Answer 5

yes thats it

Answer 6

ok, then those steps above are correct

Answer 7

i don't get why on the second step there are two 3's

Answer 8

I distributed that 3 through

Answer 9

over the 1-m/2?

Answer 10

when you say something like

3(x+y)

you distribute it through by multiplying 3 by x and 3 by y. Then you add like this

3x + 3y

Answer 11

but there's only one m :/

Answer 12

on the right side?

Answer 13

oh wait there are two but it's over a fraction

Answer 14

yes

Answer 15

i still am not understanding whatsoever i'm sorry :/

Answer 16

that's ok, let me try it another way

Answer 17

okay, i'm sorry

Answer 18

no worries, don't be sorry

Answer 19

does it look better if I write it like this

\[\Large m+6=3\left(1-\frac{m}{2}\right)\]

Answer 20

let me know

Answer 21

yes

Answer 22

ok distribute to get

\[\Large m+6=3\left(1\right)+3\left(-\frac{m}{2}\right)\]

with me so far?

Answer 23

yes

Answer 24

that simplifies to

\[\Large m+6=3-\frac{3m}{2}\]

Answer 25

why does the 3 go automatically to the m? and not to the 2?

Answer 26

\[\Large 3\left(-\frac{m}{2}\right)\]


\[\Large \left(\frac{3}{1}\right)\left(-\frac{m}{2}\right)\]


\[\Large \left(\frac{-3\times m}{1\times 2}\right)\]


\[\Large -\frac{3m}{2}\]

-------------------------------------------------------

So

\[\Large 3\left(-\frac{m}{2}\right)\]

simplifies to

\[\Large -\frac{3m}{2}\]

Answer 27

okay, now i understand

Answer 28

so again, we have

\[\Large m+6=3-\frac{3m}{2}\]

Answer 29

yes :)

Answer 30

With equations, you can clear out the fractions if you don't like them (as most legitimately do)

I prefer to clear out fractions as well

Answer 31

we do this by multiplying EVERY term by the LCD (which in this case is 2)

Answer 32

\[\Large 2m+2*6=2*3+2\left(-\frac{3m}{2}\right)\]


\[\Large 2m+12=6-\frac{6m}{2}\]


\[\Large 2m+12=6-3m\]

Answer 33

Notice how the fraction goes away after we do this

Answer 34

i see

Answer 35

Are you able to solve from here?

Answer 36

no because i don't understand what to do getting 1 m over to the other m side

Answer 37

You want to isolate m

Answer 38

So you need to move all the 'm' terms to one side and get everything else to the other side

Answer 39

but there are two m's

Answer 40

so we need to get them together so we can combine them

Answer 41

we do this by adding 3m to both sides

Answer 42

\[\Large 2m+12=6-3m\]


\[\Large 2m+12+3m=6-3m+3m\]


\[\Large 5m+12=6\]

Answer 43

okay! i understand now. elimination?

Answer 44

now move the 12 over by subtracting 12 from both sides

Answer 45

\[\Large 5m+12=6\]


\[\Large 5m+12-12=6-12\]


\[\Large 5m=-6\]

Answer 46

and then divide both by -6?

Answer 47

by 5

Answer 48

or 5

Answer 49

you want to move the 5 over, not the -6

Answer 50

okay! so that would be -6/5????

Answer 51

yes it would be

Answer 52

thank you so much! :D i've been so stressed about this

Answer 53

I'm glad to be of help